# derivative rules for combinations of functions

4.2. Derivative Rules for Combinations of Functions. In the last section we learned rules to symbolically differentiate some elementary functions. To summarize, we have established 4 rules. If f (x)=xn, ( x) = x n, then f′(x)= n∗x(n−1), f ′ ( x) = n ∗ x ( n − 1), for any real number n. n